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arXiv · 1401.1834

The Diederich-Forn{\ae}ss exponent and non-existence of Stein domains with Levi-flat boundaries

Siqi Fu·Mei-Chi Shaw
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Abstract

We study the Diederich-Forn{\ae}ss exponent and relate it to non-existence of Stein domains with Levi-flat boundaries in complex manifolds. In particular, we prove that if the Diederich-Forn{\ae}ss exponent of a smooth bounded Stein domain in an $n$-dimensional complex manifold is $>k/n$, then it has a boundary point at which the Levi-form has rank $\ge k$.

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Siqi Fu, Mei-Chi Shaw. 2014-01-08. The Diederich-Forn{\ae}ss exponent and non-existence of Stein domains with Levi-flat boundaries. https://arxiv.org/abs/1401.1834

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